A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produc
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A 75 g bungee cord has an equilibrium length of 1.20 m. The
cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes. What is the spring constant of the bungee cord?
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- A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 45.0 vibrations in 35.0 s. A given crest of the wave travels 410 cm along the rope in 12.0 s. What is the wavelength of the wave?A string of mass 0.50 kg and a length 3.0 meters is clamped on both ends. If the tension in the string is 25 newtons, what are the lowest 3 natural frequencies of oscillation of the string? For each case, include a sketch of the standing wave pattern.A string has a mass of 7.8g and a length of 1.55m. A second string has a mass of 4.4g and a length of 2.45m. One end of each string is melted to the other to form one long string. This combined string is stretched tight with a tension of 18.7N. How long would it take for a transverse disturbance introduced at one end of the string to reach the opposite end of the string?
- a standing wave in a clothesline has 10 nodes and 9 antinodes. the clothesline is 8.46m long and is vibrating at 1.71 Hz. what is the speed of the wave?Tie a rubber tube, a spring, or a rope to a fixed support and produce standing waves. See how many nodes you can produce.A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.5x + 17t) The mass density of the rope is µ = 0.113 kg/m. x and y are measured in meters andt in seconds. 1) What is the amplitude of the wave? 0.14 m Submit +) 2) What is the frequency of oscillation of the wave? 2.706 Hz Submit 3) What is the wavelength of the wave? 2.51 m Submit 4) What is the speed of the wave? 6.79206 m/s Submit 5) What is the tension in the rope? 5.213 N Submit +) 6) At x = 3.8 m and t = 0.43 s, what is the velocity of the rope? (watch your sign) m/s Submit 7) At x = 3.8 m and t = 0.43 s, what is the acceleration of the rope? (watch your sign) m/s2 Submit 8) What is the average speed of the rope during one complete oscillation of the rope? m/s Submit
- a. A wooden flute, open at both ends, is 0.5 m long. Determine its fundamental vibration frequency assuming the speed of sound in air is 340 m/s b. How far from one end should a finger hole be placed to produce a sound whose frequency is 44 times that calculated in the first part.A displacement function y is produced when there are two waves present with displacements y 1 = 6.00 sin (4.00 t - 6.00 x ) and y 2 = 6.00 sin (4.00 t - 6.00 x ). What is the amplitude of the new wave function? (Unitless quantity.)you have a string with a mass of 0.0121 kg. you stretch the string with a force of 9.57 N, giving it a length of 1.95 m. then, you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. what is the wavelength of the standing wave created in the string? what is the frequency?